{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Logging before flag parsing goes to stderr.\n",
      "W0421 02:13:43.425800 139705955919680 deprecation.py:506] From /home/guilherme/anaconda3/envs/cent-patates/lib/python3.7/site-packages/tensorflow/python/ops/init_ops.py:1257: calling VarianceScaling.__init__ (from tensorflow.python.ops.init_ops) with dtype is deprecated and will be removed in a future version.\n",
      "Instructions for updating:\n",
      "Call initializer instance with the dtype argument instead of passing it to the constructor\n"
     ]
    }
   ],
   "source": [
    "import tensorflow as tf\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from model import GatherProbsLayer, CalculatePrizeProbs, CalculateExpectedPlayers\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "matplotlib.rcParams.update({'font.size': 18})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "W0421 02:13:44.424878 139705955919680 hdf5_format.py:224] No training configuration found in save file: the model was *not* compiled. Compile it manually.\n"
     ]
    }
   ],
   "source": [
    "model = tf.keras.models.load_model('results/model.h5', custom_objects={\n",
    "    'GatherProbsLayer': GatherProbsLayer,\n",
    "    'CalculatePrizeProbs': CalculatePrizeProbs,\n",
    "    'CalculateExpectedPlayers': CalculateExpectedPlayers\n",
    "})\n",
    "\n",
    "normal_probs, lucky_probs = model.get_layer('gather_probs_layer').get_probs()\n",
    "normal_probs = pd.Series(normal_probs, index=np.arange(1, 50))\n",
    "lucky_probs = pd.Series(lucky_probs, index=np.arange(1, 11))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from utils import plot_probs_in_bars, plot_probs_in_grid\n",
    "plot_probs_in_bars(normal_probs, 'C0')\n",
    "plt.show()\n",
    "plot_probs_in_bars(lucky_probs, 'C1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_probs_in_grid(normal_probs)\n",
    "plot_probs_in_grid(lucky_probs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Most likely play: [ 7 11  9  5 12] 7\n",
      "Least likely play: [34 46 36 35 39] 10\n",
      "People prefer the first one 65.5x more\n"
     ]
    }
   ],
   "source": [
    "top_5 = normal_probs.nlargest(5)\n",
    "bottom_5 = normal_probs.nsmallest(5)\n",
    "print('Most likely play: ' + str(top_5.index.values) + ' ' + str(lucky_probs.idxmax()))\n",
    "print('Least likely play: ' + str(bottom_5.index.values) + ' ' + str(lucky_probs.idxmin()))\n",
    "gap = np.prod(top_5) * lucky_probs.max() / np.prod(bottom_5) / lucky_probs.min()\n",
    "print(f'People prefer the first one {gap:.1f}x more')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv('data/data.csv', dayfirst=True, parse_dates=['date'])\n",
    "inputs_values = [\n",
    "    data[['ball_1', 'ball_2', 'ball_3', 'ball_4', 'ball_5']].values,\n",
    "    data[['lucky_ball']].values,\n",
    "    data[['wins_1_1_and_0_1']].values\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Most frequent draw: [41 13 22  1 15] 7\n",
      "Least frequent draw: [42 19 39  8 25] 8\n",
      "First one 4.7x more frequent\n"
     ]
    }
   ],
   "source": [
    "from collections import Counter\n",
    "normal_frequency = Counter({n: 0 for n in range(1, 50)})\n",
    "lucky_frequency = Counter({n: 0 for n in range(1, 11)})\n",
    "for i in range(1, 6):\n",
    "    normal_frequency.update(data[f'ball_{i}'].values)\n",
    "lucky_frequency.update(data['lucky_ball'].values)\n",
    "normal_frequency = pd.Series(normal_frequency)\n",
    "normal_frequency /= normal_frequency.sum()\n",
    "lucky_frequency = pd.Series(lucky_frequency)\n",
    "lucky_frequency /= lucky_frequency.sum()\n",
    "\n",
    "plot_probs_in_bars(normal_frequency, 'C0')\n",
    "plt.plot(range(0, 49), normal_probs.sort_values(ascending=False).values, linewidth=3, color='C2')\n",
    "plt.legend(['Draw frequency', 'Players\\' bias'])\n",
    "plt.show()\n",
    "\n",
    "plot_probs_in_bars(lucky_frequency, 'C1')\n",
    "plt.plot(range(0, 10), lucky_probs.sort_values(ascending=False).values, linewidth=3, color='C3')\n",
    "plt.legend(['Draw frequency', 'Players\\' bias'])\n",
    "plt.show()\n",
    "\n",
    "top_5 = normal_frequency.nlargest(5)\n",
    "bottom_5 = normal_frequency.nsmallest(5)\n",
    "print('Most frequent draw: ' + str(top_5.index.values) + ' ' + str(lucky_frequency.idxmax()))\n",
    "print('Least frequent draw: ' + str(bottom_5.index.values) + ' ' + str(lucky_frequency.idxmin()))\n",
    "gap = np.prod(top_5) * lucky_frequency.max() / np.prod(bottom_5) / lucky_frequency.min()\n",
    "print(f'First one {gap:.1f}x more frequent')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.colors import Normalize\n",
    "fig, axs = plt.subplots(1, 2, figsize=(14, 10))\n",
    "norm = Normalize(min(normal_frequency.min(), normal_probs.min()), max(normal_frequency.max(), normal_probs.max()))\n",
    "plot_probs_in_grid(normal_frequency, ax=axs[0], title='Draw frequency', norm=norm)\n",
    "plot_probs_in_grid(normal_probs, ax=axs[1], title='Players\\' bias', norm=norm)\n",
    "plt.show()\n",
    "\n",
    "fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n",
    "norm = Normalize(min(lucky_frequency.min(), lucky_probs.min()), max(lucky_frequency.max(), lucky_probs.max()))\n",
    "plot_probs_in_grid(lucky_frequency, ax=axs[0], title='Draw frequency', norm=norm)\n",
    "plot_probs_in_grid(lucky_probs, ax=axs[1], title='Players\\' bias', norm=norm)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "expected_players = pd.DataFrame({\n",
    "    'players': model.predict(inputs_values)[0].flatten(),\n",
    "    'date': data['date'],\n",
    "    'jackpot': data['jackpot'],\n",
    "    'weekday': data['date'].dt.weekday.map({0: 'Monday', 2: 'Wednesday', 5: 'Saturday'})\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "plt.figure(figsize=(14, 5))\n",
    "sns.distplot(expected_players['players'], norm_hist=False, kde=False)\n",
    "plt.title('Distribution of expected number of players')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14, 5))\n",
    "for wd in expected_players['weekday'].unique():\n",
    "    df = expected_players[expected_players['weekday'] == wd]\n",
    "    sns.distplot(df['players'], label=wd, norm_hist=False, kde=False)\n",
    "plt.legend()\n",
    "plt.title('Do people play more on a given day?')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 890.034x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(\n",
    "    'jackpot',\n",
    "    'players',\n",
    "    hue='weekday',\n",
    "    data=expected_players[expected_players['jackpot'] != 0],\n",
    "    aspect=2\n",
    ")\n",
    "plt.title('Do more people play the bigger the Jackpot?')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
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